Class groups of imaginary quadratic fields of 3-rank at least 2

2018/02/22 by Kalyan Chakraborty, Chakraborty, Kalyan, Azizul Hoque +1
Mathematics · #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1802.07919

Abstract

We produce an infinite family of imaginary quadratic fields whose ideal class groups have 3-rank at least 2.

Related

• Quadratic fields with a class group of large 3-rank
• Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2
• Imaginary quadratic fields k with Cl₂(k) = (2,2^m) and Rank Cl₂(k¹) = 2
• On the p-ranks of the ideal class groups of imaginary quadratic fields
• Corps quadratiques dont le 5-rang du groupe des classes est >=3